Axial vector current of exact chiral symmetry on the lattice

Atsushi Yamada (Univ. of Tokyo); Yoshio Kikukawa (Kyoto Univ.)

Axial vector current of exact chiral symmetry on the lattice

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arxiv hep-lat/9808026 v2 pith:LBPM3ZLW submitted 1998-08-21 hep-lat

Yoshio Kikukawa (Kyoto Univ.) , Atsushi Yamada (Univ. of Tokyo) This is my paper · ORCID

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keywords currentsymmetryvectoraxialchiralexactlatticeoperator

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We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the Ginsparg-Wilson relation. The axial vector current, which turns out to be related to the vector current simply by the insertion of the operator \gamma_5 (1-aD), is explicitly constructed in the case of the Neuberger-Dirac operator. We also consider an Euclidean proof of the Nambu-Goldstone theorem using the Ward-Takahashi identity of this symmetry.

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N=1 Supersymmetric QCD on the lattice using overlap fermions
hep-lat 2025-07 conditional novelty 6.0 of 10

A chirally symmetric overlap lattice action for N=1 SQCD is constructed by introducing auxiliary fermion fields that are integrated out, yielding new ultralocal interaction terms.

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